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505103210245053 = 327187133431281827
BaseRepresentation
bin111001011011000111000000…
…1011010111110101110111101
32110020102101200011222110102100
41302312032001122332232331
51012201102333310320203
64550133113400015313
7211251334263345420
oct16266160132765675
92406371604873370
10505103210245053
11136a3a083196012
1248798477161539
13188ac04a382474
148ca31a93579b7
153d5dd610ccea3
hex1cb63816bebbd

505103210245053 has 48 divisors (see below), whose sum is σ = 834517035196416. Its totient is φ = 288389622961440.

The previous prime is 505103210244943. The next prime is 505103210245087. The reversal of 505103210245053 is 350542012301505.

505103210245053 is a `hidden beast` number, since 5 + 0 + 5 + 10 + 32 + 102 + 4 + 505 + 3 = 666.

It is not a de Polignac number, because 505103210245053 - 213 = 505103210236861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505103210244999 and 505103210245017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505103210240053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393408526 + ... + 394690352.

It is an arithmetic number, because the mean of its divisors is an integer number (17385771566592).

Almost surely, 2505103210245053 is an apocalyptic number.

It is an amenable number.

505103210245053 is a deficient number, since it is larger than the sum of its proper divisors (329413824951363).

505103210245053 is a wasteful number, since it uses less digits than its factorization.

505103210245053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287054 (or 1287051 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 505103210245053 its reverse (350542012301505), we get a palindrome (855645222546558).

The spelling of 505103210245053 in words is "five hundred five trillion, one hundred three billion, two hundred ten million, two hundred forty-five thousand, fifty-three".

Divisors: 1 3 7 9 21 63 1871 3343 5613 10029 13097 16839 23401 30087 39291 70203 117873 210609 1281827 3845481 6254753 8972789 11536443 18764259 26918367 43783271 56292777 80755101 131349813 394049439 2398298317 4285147661 7194894951 12855442983 16788088219 21584684853 29996033627 38566328949 50364264657 89988100881 151092793971 269964302643 8017511273731 24052533821193 56122578916117 72157601463579 168367736748351 505103210245053